|
#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
## This file's authors include Volkmar Felsch.
##
## Copyright of GAP belongs to its developers, whose names are too numerous
## to list here. Please refer to the COPYRIGHT file for details.
##
## SPDX-License-Identifier: GPL-2.0-or-later
##
## This file contains, for each Q-class representative of the irreducible
## maximal finite integral matrix groups of dimension 20,
##
## [1] a quadratic form (as lower triangle of the Gram matrix),
## [2] a list of matrix generators.
##
#############################################################################
##
## Quadratic form and matrix generators for the Q-class representatives of
## the irreducible maximal finite integral matrix groups of dimension 20.
##
IMFList[20].matrices := [
[ # Q-class [20][01]
[[1],
[0,1],
[0,0,1],
[0,0,0,1],
[0,0,0,0,1],
[0,0,0,0,0,1],
[0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]],
[ # Q-class [20][02]
[[2],
[0,2],
[-1,1,2],
[-1,1,1,2],
[0,0,0,0,2],
[0,0,0,0,0,2],
[0,0,0,0,-1,1,2],
[0,0,0,0,-1,1,1,2],
[0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,-1,1,2],
[0,0,0,0,0,0,0,0,-1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,2]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,-1],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0]],
[[-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]],
[ # Q-class [20][03]
[[4],
[-1,4],
[0,0,4],
[0,-2,0,4],
[0,2,-2,-1,4],
[0,1,-1,-2,0,4],
[1,-1,-1,1,0,-1,4],
[0,0,1,-1,-1,2,-2,4],
[-1,0,0,-1,-1,1,-2,1,4],
[0,0,-1,2,1,-1,1,-2,-2,4],
[1,1,0,-1,0,1,1,0,-1,0,4],
[-2,-1,0,1,-1,0,-1,1,2,0,-2,4],
[1,-1,0,0,-1,1,1,0,-2,1,2,-1,4],
[0,0,-2,-1,1,1,1,0,1,-1,1,0,0,4],
[-1,0,1,-1,-1,0,-1,1,0,-1,0,1,1,-1,4],
[-1,-1,2,0,-2,0,0,0,0,0,0,1,1,-2,1,4],
[1,0,-1,-1,1,1,1,0,-1,0,1,-2,1,2,-2,-1,4],
[1,1,-1,-1,2,-1,1,-1,-1,0,1,-1,0,1,1,-2,0,4],
[-1,-1,1,1,-2,0,0,1,-1,0,0,0,1,-2,1,2,-1,-2,4],
[-1,0,1,0,-1,-1,0,-1,-1,1,0,0,1,-2,2,2,-1,0,1,4]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-1,-1,0,-1,0,0,1,1,0,1,0,-1,0,0,0,-1,-1,-1,-1,0],
[-1,0,-1,-1,-1,-1,0,1,-1,0,0,-1,1,-1,0,0,-1,-1,-2,-1],
[0,0,0,1,0,0,0,1,1,0,0,-1,0,0,0,1,0,1,0,0],
[0,-1,1,-1,0,1,0,-1,-1,0,1,2,-1,0,-1,-2,0,0,1,1],
[0,0,-1,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0],
[1,0,2,1,2,1,1,-2,2,-1,1,2,0,-1,1,-2,2,0,2,1],
[-1,0,-2,-1,-1,-1,0,1,-1,0,0,-1,0,-1,0,1,-1,-1,-2,-1],
[1,1,0,1,1,0,0,0,1,0,-1,0,1,1,0,1,0,0,1,0],
[0,0,0,0,-1,0,0,1,0,1,0,-1,-1,1,0,1,0,1,0,0],
[0,0,1,0,2,0,1,0,2,0,0,0,1,0,0,-1,0,0,1,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1],
[0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,1,1,1,2,0,1,-1,2,-1,0,2,1,0,0,-1,1,0,2,1],
[-1,-1,0,-1,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,-1,-1],
[0,0,0,-1,-1,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,-1],
[0,1,-1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,2,0,2,1,1,-1,1,0,1,2,0,-1,0,-2,1,0,1,1],
[0,0,-1,0,-1,0,-1,0,-1,0,0,-1,-1,0,1,1,0,0,-1,-1],
[-1,0,0,0,-1,0,0,1,0,1,-1,-2,0,0,0,1,0,1,-1,-1]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,1,0,0,0,1,1,1,-1,-2,0,1,1,1,0,0,0,0],
[1,1,0,1,0,0,0,0,1,0,-1,0,0,1,0,1,1,1,1,1],
[1,-1,2,0,2,1,0,-2,0,-1,1,3,0,0,0,-2,1,0,2,1],
[0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,-1,-1,-1,0,0],
[-1,0,-1,0,0,-1,1,2,1,1,0,-2,0,-1,1,1,0,-1,-2,-1],
[-1,-1,0,-1,-1,0,0,0,-1,1,0,-1,0,0,0,0,-1,0,-1,-1],
[1,1,0,1,1,0,1,0,2,0,0,1,0,-1,1,0,2,0,1,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[-1,-1,0,0,0,0,0,1,-1,0,0,-1,0,0,0,0,-1,0,-1,0],
[-1,0,0,0,-1,0,0,1,0,1,-1,-2,0,0,0,1,0,1,-1,-1],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[-1,0,-1,0,-1,-1,0,1,-1,0,0,-1,0,-1,0,1,0,0,-2,-1],
[-1,-1,0,-2,-1,0,0,-1,-1,0,1,1,0,-2,0,-2,0,-1,-1,-1],
[0,2,-2,1,-2,-1,-1,1,-1,0,-1,-1,0,1,0,3,0,1,-1,-1],
[-1,0,-1,0,-1,-1,0,2,0,1,-1,-2,0,1,-1,2,-1,1,-1,0],
[-1,-1,0,-1,0,0,1,0,0,0,1,0,0,-2,0,-2,0,-1,-1,0],
[0,1,-1,0,-2,0,-1,0,-2,0,-1,-1,0,1,0,1,-1,0,-1,-1],
[0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0],
[-1,1,-1,1,-1,-1,0,2,0,0,-1,-2,1,1,-1,2,-1,1,-1,0]]]],
[ # Q-class [20][04]
[[4],
[-2,4],
[1,-1,4],
[0,0,0,4],
[1,-2,2,-1,4],
[1,-1,0,0,0,4],
[0,0,2,-1,2,-1,4],
[-1,0,2,0,1,-1,1,4],
[0,-1,2,0,2,0,1,2,4],
[-2,2,0,1,-1,-2,0,1,1,4],
[-1,2,0,1,-1,0,0,0,-1,1,4],
[-2,2,-2,1,-2,-1,0,-1,-2,1,0,4],
[2,-2,1,0,2,-1,0,0,0,-1,0,-2,4],
[-1,-1,-1,-1,1,-1,0,-1,0,0,-2,1,0,4],
[-1,0,-2,0,-1,0,-1,-1,-1,-1,-1,2,-1,1,4],
[-2,0,0,-1,0,0,-1,1,1,1,-1,0,-1,2,0,4],
[-1,0,0,-1,0,-2,1,0,-1,0,-1,1,0,2,0,1,4],
[-1,1,-1,-1,0,-2,0,1,-1,1,1,0,1,0,-1,0,1,4],
[0,1,1,0,0,-1,0,1,1,1,0,-1,0,0,-2,1,1,1,4],
[-1,0,1,-2,1,-2,2,1,1,1,-1,0,0,1,0,1,2,1,0,4]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-2,-2,-1,-1,1,-2,-1,0,-1,-1,0,1,-1,-1,-2,-1,-1,-2,1,0],
[1,0,0,0,-1,2,1,0,1,1,1,0,1,1,1,0,1,1,0,0],
[1,1,-1,1,-1,1,2,1,0,0,0,-1,1,1,1,1,0,0,0,0],
[1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0],
[1,1,1,0,-2,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0],
[0,-2,0,-1,1,0,-1,0,0,1,1,1,-1,0,0,-1,0,0,1,0],
[0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0],
[-1,-1,-1,0,1,0,0,0,-1,0,0,0,0,-1,0,0,0,-1,1,0],
[0,-1,0,0,0,-1,1,-1,0,0,0,0,-1,-1,0,1,0,0,0,-1],
[-1,-1,-1,-1,1,-1,-1,1,-1,0,0,1,0,0,-1,-1,-1,-2,1,0],
[1,1,0,1,0,1,1,0,0,1,0,-1,0,0,1,1,1,1,-1,0],
[0,1,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,-1,0,0,0,0,-1,-1,0,0,0,0,0,0,-1,-1],
[0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,1,0,-1,0,0,0,0,1,0,0,-1,0,0,0,0,0],
[-1,-1,0,0,1,-1,-1,0,-1,0,0,0,-1,-1,-1,0,0,-1,0,0],
[-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0],
[0,0,0,0,1,1,-1,0,0,1,0,0,0,0,0,-1,1,0,0,0]],
[[-2,-2,-1,-1,2,-2,-2,0,-1,-1,0,1,-1,-2,-2,-1,-1,-2,1,1],
[2,2,0,1,-2,2,1,1,1,1,0,-1,1,2,1,0,1,1,-1,0],
[-1,0,0,0,0,0,0,0,-1,0,-1,-1,0,0,0,-1,0,0,0,0],
[-1,-1,0,-1,0,0,-1,0,0,0,0,1,0,0,-1,-1,0,-1,1,0],
[-1,1,1,1,0,0,0,-1,0,-1,-1,-1,0,0,0,0,0,1,-1,0],
[-1,1,0,1,0,0,1,0,-1,0,-1,-2,0,0,0,0,0,0,0,0],
[0,1,0,1,-1,1,1,0,0,0,-1,-1,1,1,0,0,0,1,-1,0],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[-1,0,1,1,0,-1,0,-1,-1,-1,-1,-1,-1,0,0,0,-1,1,0,0],
[1,0,1,0,-1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0],
[0,1,0,0,0,0,0,0,0,1,-1,-1,0,0,0,0,1,0,-1,-1],
[2,1,0,0,-2,3,1,1,2,1,1,1,2,2,1,0,1,1,0,0],
[-1,-1,0,-1,2,-2,-2,-1,0,-1,0,1,-1,-2,-1,0,0,-1,0,0],
[1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0],
[1,0,0,0,-1,1,1,0,2,0,1,1,1,0,1,1,1,1,0,-1],
[1,0,1,0,0,0,0,0,0,0,1,0,-1,1,1,0,0,1,0,0],
[1,-1,0,-1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0],
[1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0],
[0,0,0,0,0,-1,-1,1,-1,-1,0,0,-1,1,-1,-1,-1,-1,0,1],
[1,0,1,0,-1,0,1,-1,1,0,0,0,0,0,1,1,0,2,-1,-1]]]],
[ # Q-class [20][05]
[[3],
[0,3],
[1,1,3],
[0,0,1,3],
[1,0,0,1,3],
[0,0,0,0,0,3],
[0,1,0,1,0,0,3],
[0,0,0,0,0,1,0,3],
[0,0,0,0,0,1,1,0,3],
[1,0,0,0,0,0,0,0,0,3],
[0,0,0,0,0,-1,1,0,0,1,3],
[0,0,0,0,0,1,0,0,0,1,0,3],
[0,0,1,0,0,1,0,0,0,-1,0,0,3],
[0,0,1,0,-1,0,0,0,0,0,0,0,0,3],
[0,0,0,-1,0,0,0,1,0,0,1,0,0,0,3],
[0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,3],
[0,0,0,-1,0,0,0,-1,1,0,0,0,-1,1,0,0,3],
[0,0,-1,0,0,1,1,0,0,0,0,0,0,0,-1,0,0,3],
[0,-1,0,0,0,0,0,-1,0,0,0,1,1,-1,0,1,0,-1,3],
[0,0,0,0,1,0,1,0,0,-1,0,0,0,0,1,0,1,0,1,3]],
[[[-1,-1,1,-1,1,0,1,-1,0,1,-1,0,0,0,1,1,-1,0,-1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0],
[1,1,-1,1,-2,0,-2,0,1,0,1,0,0,0,-1,-1,-1,0,0,2],
[0,1,0,0,0,0,-1,0,1,0,0,-1,-1,1,0,-1,-1,1,2,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,-1,0,0,-1,0,1,0,0,1,1,-1],
[-1,-1,1,-1,1,1,1,-1,0,0,0,0,-1,0,0,1,-1,-1,-1,0],
[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[-1,0,1,-1,1,1,1,0,-1,0,0,-1,-1,0,0,0,0,0,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,1,0,-1,0,1,0,0,-1,0,0,0,1,0,1,1,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,1,0,0,0,0,0,1,0,0,0,-1,-1,1,0,-1,0,1,3,-1]],
[[1,2,-2,3,-2,-1,-3,1,1,0,1,0,1,0,0,-1,1,1,1,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,1,-1,1,1,0,0,0,-1,1,-1,-2,1,0,0,-1,1,2,-1],
[0,2,0,0,1,0,-2,1,1,-1,1,-1,-2,2,0,-1,-1,2,4,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,-1,0,0,-1,0,1,0,0,1,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0],
[0,0,1,-1,0,1,0,0,0,-1,1,0,-2,0,-1,-1,-1,0,1,0],
[0,0,0,1,-1,0,-1,0,0,1,0,0,1,-1,0,0,1,0,-1,1],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,0,0,1,0,-1,0,0,1,1,-1,0,1,1,-1,-2,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,0,1,1,-1,-1,0,0,0,0,0,0,0,0,-1,-1,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,1,0,-1,0,1,0,0,-1,0,0,0,1,0,1,1,1,-1],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,1,0,0,0,0,-1,0,0,-1,1,1,0,0,1,2,-2]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[1,0,-1,1,-1,0,0,0,0,0,0,0,1,-1,0,0,1,-1,-1,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0],
[-1,-1,2,-2,1,0,1,0,0,0,0,0,-1,0,-1,0,-1,0,0,0],
[0,0,1,0,0,0,0,0,0,-1,0,0,-1,0,1,0,0,1,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[1,1,-1,1,-2,0,-2,0,1,0,1,0,0,0,-1,-1,-1,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,-1,1,0,1,0,0,-1,0,0,-1,1,0,0,-1,0,1,-1],
[0,-1,0,0,-1,0,0,0,0,1,0,0,1,-1,-1,0,0,-1,-2,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]],
[ # Q-class [20][06]
[[2],
[1,2],
[0,0,2],
[0,0,1,2],
[0,0,0,0,2],
[0,0,0,0,1,2],
[0,0,0,0,0,0,2],
[0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2]],
[[[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]]],
[ # Q-class [20][07]
[[4],
[-1,4],
[1,1,4],
[2,0,2,4],
[-2,2,1,-1,4],
[-2,2,1,0,1,4],
[-1,2,1,1,2,1,4],
[1,-2,-2,-1,-2,-1,-1,4],
[-1,2,-1,-2,2,0,0,-1,4],
[2,-2,1,0,-1,-2,-2,1,-1,4],
[0,0,0,0,0,0,0,0,0,0,4],
[0,0,0,0,0,0,0,0,0,0,-1,4],
[0,0,0,0,0,0,0,0,0,0,1,1,4],
[0,0,0,0,0,0,0,0,0,0,2,0,2,4],
[0,0,0,0,0,0,0,0,0,0,-2,2,1,-1,4],
[0,0,0,0,0,0,0,0,0,0,-2,2,1,0,1,4],
[0,0,0,0,0,0,0,0,0,0,-1,2,1,1,2,1,4],
[0,0,0,0,0,0,0,0,0,0,1,-2,-2,-1,-2,-1,-1,4],
[0,0,0,0,0,0,0,0,0,0,-1,2,-1,-2,2,0,0,-1,4],
[0,0,0,0,0,0,0,0,0,0,2,-2,1,0,-1,-2,-2,1,-1,4]],
[[[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,1,-1,1,1,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[-1,1,0,0,0,-1,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,-1,0,-1,-1,0,0,0,0,0,0,0,0,0,0],
[-1,1,0,1,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0],
[1,1,-1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,-1,-1,0,1,-1,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,1,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[1,0,-1,0,0,1,1,-1,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,-1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,0,0,0,0,0,0,0,0,0,-2,1,1,1,0,-1,-1,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,1,0,1,1],
[0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,1,0,1,0],
[0,0,0,0,0,0,0,0,0,0,1,-1,-1,-1,0,1,1,-1,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,-1,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,-1,1,1,0,-1,-1,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0]]]],
[ # Q-class [20][08]
[[2],
[1,2],
[1,1,2],
[1,1,1,2],
[1,1,1,1,2],
[0,0,0,0,0,2],
[0,0,0,0,0,1,2],
[0,0,0,0,0,1,1,2],
[0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2]],
[[[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],
[[-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]],
[ # Q-class [20][09]
[[4],
[0,4],
[-2,2,4],
[-2,2,2,4],
[2,0,-1,-1,4],
[0,2,1,1,0,4],
[-1,1,2,1,-2,2,4],
[-1,1,1,2,-2,2,2,4],
[2,0,-1,-1,2,0,-1,-1,4],
[0,2,1,1,0,2,1,1,0,4],
[-1,1,2,1,-1,1,2,1,-2,2,4],
[-1,1,1,2,-1,1,1,2,-2,2,2,4],
[2,0,-1,-1,2,0,-1,-1,2,0,-1,-1,4],
[0,2,1,1,0,2,1,1,0,2,1,1,0,4],
[-1,1,2,1,-1,1,2,1,-1,1,2,1,-2,2,4],
[-1,1,1,2,-1,1,1,2,-1,1,1,2,-2,2,2,4],
[2,0,-1,-1,2,0,-1,-1,2,0,-1,-1,2,0,-1,-1,4],
[0,2,1,1,0,2,1,1,0,2,1,1,0,2,1,1,0,4],
[-1,1,2,1,-1,1,2,1,-1,1,2,1,-1,1,2,1,-2,2,4],
[-1,1,1,2,-1,1,1,2,-1,1,1,2,-1,1,1,2,-2,2,2,4]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,-1,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,0,1,-1,1,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,-1,1,0],
[0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,1,-1],
[0,0,0,0,0,0,0,0,-1,1,-1,0,0,0,0,0,1,-1,1,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,-1,1,0],
[0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,1,-1],
[0,0,0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,1,-1,1,0],
[0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0],
[0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1],
[-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,0]],
[[-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1],
[1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,1,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,-1,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0],
[0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,1,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1],
[0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,-1,0,0,-1],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0],
[0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,1,0,1,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1],
[0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,-1],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0]]]],
[ # Q-class [20][10]
[[4],
[2,4],
[2,2,4],
[2,2,2,4],
[2,2,2,2,4],
[1,2,1,1,1,4],
[1,1,1,2,1,2,4],
[1,1,2,1,1,2,2,4],
[1,1,1,1,2,2,2,2,4],
[2,1,1,1,1,1,1,1,1,4],
[1,1,1,1,2,1,1,1,2,2,4],
[1,2,1,1,1,1,2,1,1,2,2,4],
[2,1,1,1,1,1,1,1,1,2,1,1,4],
[2,1,1,1,1,2,2,2,2,2,1,1,2,4],
[1,2,1,1,1,1,1,2,1,1,1,2,1,1,4],
[1,2,1,1,1,2,1,1,1,2,1,1,1,1,1,4],
[1,2,1,1,1,2,1,1,1,1,1,1,2,1,1,2,4],
[1,1,1,2,1,1,1,2,1,1,1,1,2,1,2,1,2,4],
[1,1,2,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,4],
[1,1,1,2,1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,4]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,1,1,-1,0,0,1,-1,-1,0,1,-1,0,1,0,0,-1,1,-1,0],
[0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,-1,-1,1,0,0,1,0,0,0,0,-1,0],
[0,1,1,-1,0,0,1,-1,-1,0,1,-1,-1,1,0,0,0,1,-1,0],
[0,0,0,0,0,0,0,0,-1,0,1,0,0,1,0,0,0,0,-1,0],
[-1,0,1,0,0,0,0,0,-1,0,1,0,0,1,0,0,0,0,-1,0],
[0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0],
[0,0,1,-1,0,0,1,-1,-1,0,1,0,-1,1,0,0,0,1,-1,0],
[0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,1,-1,0,0,1,-1,-1,0,1,-1,-1,1,0,0,0,1,-1,0],
[-1,1,1,-1,0,0,1,-1,-1,0,1,-1,0,1,0,0,-1,1,-1,0],
[0,-1,0,0,0,0,-1,0,0,-1,0,1,0,1,0,1,0,0,0,1],
[0,-1,0,0,0,1,-1,0,0,0,0,1,0,0,0,0,0,0,0,1],
[0,1,0,-1,0,0,1,0,-1,0,1,-1,0,0,0,0,-1,1,0,0],
[0,0,1,-1,0,0,1,-1,-1,0,1,-1,0,1,1,0,0,0,-1,0],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,-1,-1,1,0,0,1,0,0,0,0,0,0],
[0,-1,0,0,1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,-1,1,0,0,0,0,0,0,0,0,0,-1,0,0]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,-1,0,0,0,0,-1,1,0,0,0,1,-1,0],
[0,1,1,-1,0,0,1,-1,-1,0,1,-1,-1,1,0,0,0,1,-1,0],
[1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0],
[0,0,1,0,0,0,0,-1,0,-1,1,0,0,1,0,0,0,0,-1,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0],
[0,0,0,0,1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,-1]]]],
[ # Q-class [20][11]
[[3],
[1,3],
[1,1,3],
[1,1,1,3],
[-1,1,0,0,3],
[-1,0,1,0,1,3],
[-1,0,0,1,1,1,3],
[0,-1,1,0,-1,1,0,3],
[0,-1,0,1,-1,0,1,1,3],
[0,0,-1,1,0,-1,1,-1,1,3],
[0,0,0,0,0,0,0,0,0,0,3],
[0,0,0,0,0,0,0,0,0,0,1,3],
[0,0,0,0,0,0,0,0,0,0,1,1,3],
[0,0,0,0,0,0,0,0,0,0,1,1,1,3],
[0,0,0,0,0,0,0,0,0,0,-1,1,0,0,3],
[0,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,3],
[0,0,0,0,0,0,0,0,0,0,-1,0,0,1,1,1,3],
[0,0,0,0,0,0,0,0,0,0,0,-1,1,0,-1,1,0,3],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,1,-1,0,1,1,3],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,-1,1,-1,1,3]],
[[[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,-1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0],
[0,0,-1,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,-1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[-1,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,0,0,0,1,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,-1,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,-1,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],
[0,0,-1,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],
[0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0]]]],
[ # Q-class [20][12]
[[6],
[2,6],
[3,3,6],
[2,2,2,6],
[3,2,3,2,6],
[3,3,3,1,3,6],
[2,3,3,2,2,3,6],
[2,1,2,1,2,1,2,6],
[2,3,3,1,2,3,0,2,6],
[1,3,1,2,1,2,2,1,2,6],
[2,2,2,3,0,1,1,2,2,2,6],
[1,1,2,2,2,1,2,3,2,1,2,6],
[2,2,1,1,1,-1,1,3,1,2,1,3,6],
[2,1,2,2,2,1,-1,1,2,2,1,1,2,6],
[2,2,1,1,2,2,2,1,0,0,0,-1,1,1,6],
[3,2,1,3,2,2,0,0,2,1,2,0,0,2,1,6],
[2,2,2,3,1,1,0,1,3,0,2,2,1,2,0,3,6],
[3,2,3,1,0,3,2,1,2,2,3,2,1,1,0,2,2,6],
[1,2,0,3,0,0,0,-1,1,2,2,1,2,2,2,3,3,2,6],
[2,3,1,3,0,2,2,1,2,3,3,0,0,1,1,2,2,2,2,6]],
[[[-1,-1,2,-1,-1,1,-2,-1,-2,2,0,2,1,-1,2,2,1,-1,-2,1],
[-1,-1,2,-1,0,1,-1,0,-1,1,0,0,1,-1,0,1,0,-1,0,1],
[-2,-2,0,-1,1,1,1,-1,0,0,1,-1,2,0,0,1,1,0,-1,1],
[0,-1,2,-1,-1,0,-2,-1,-1,2,0,2,0,-1,2,1,1,-1,-2,1],
[-1,-1,1,-1,0,1,-1,-1,-1,1,0,1,1,-1,1,1,1,-1,-1,1],
[-1,-1,1,-1,0,1,0,0,-1,0,0,0,1,0,0,1,0,-1,0,1],
[-1,-1,1,-1,0,1,0,0,0,0,0,0,1,0,0,1,0,-1,0,1],
[-2,-2,0,0,1,1,1,-2,1,-1,1,-1,3,0,0,1,0,0,-1,1],
[-2,-2,0,0,1,2,1,-1,0,-1,1,-2,3,0,-1,0,0,0,0,1],
[0,-1,2,-1,-1,1,-1,0,-1,1,0,1,1,-1,0,1,0,-2,0,1],
[-1,-2,2,-1,0,1,-1,-1,-1,1,1,0,2,-1,1,1,1,-1,-1,1],
[-2,-2,0,0,1,1,1,-1,1,-1,1,-1,2,0,0,0,0,0,0,1],
[-1,-1,1,0,0,0,-1,-1,0,1,0,1,1,-1,1,1,0,0,-1,1],
[-1,-1,1,0,0,0,-1,-1,-1,1,0,1,1,-1,1,1,1,0,-2,1],
[0,0,1,0,0,0,-2,0,-1,1,-1,1,0,-1,1,1,0,0,-1,1],
[0,0,2,-1,-1,0,-2,-1,-2,2,0,2,0,-1,2,1,1,-1,-2,1],
[-2,-1,0,0,1,1,0,-1,0,-1,1,-1,2,0,0,0,0,1,-1,1],
[-1,-1,1,-1,0,1,0,0,-1,0,1,0,1,0,0,1,0,-1,0,1],
[0,0,1,0,0,0,-2,0,-1,1,0,1,0,-1,1,0,0,0,-1,1],
[0,-1,3,-1,-1,2,-2,0,-2,1,0,1,1,-1,0,1,0,-2,0,1]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,1,0,0,1,-1,0,-1,0,0,0,1,-1,0,0,0,0,0,1],
[0,-1,1,-1,0,0,-1,-1,-1,1,0,1,1,-1,1,1,1,0,-1,1],
[1,0,2,-1,-1,1,-2,0,-2,1,0,2,0,-1,0,1,0,-2,0,1],
[1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[-1,-1,-1,0,1,0,1,-1,1,-1,1,-1,2,0,0,0,0,1,-1,1],
[1,0,1,-1,-1,-1,-1,0,-1,2,0,2,-1,-1,2,1,1,-1,-1,0],
[2,0,2,-1,-2,-1,-2,0,-2,3,-1,3,-2,-1,2,1,1,-1,-1,0],
[1,-1,2,-1,-1,1,-1,0,-1,1,0,1,0,-1,0,0,0,-2,1,1],
[0,-1,2,-1,-1,2,-1,0,-2,1,0,1,1,-1,0,1,1,-2,0,1],
[0,-1,2,-1,-1,-1,-1,-1,-1,2,0,2,0,-1,2,2,1,-1,-2,1],
[0,-1,2,-1,0,0,-1,0,-1,1,0,1,0,-1,1,1,0,-1,0,1],
[1,-1,2,-1,-1,1,-1,0,-1,1,0,1,0,-1,0,1,0,-2,1,0],
[0,0,0,0,0,1,0,1,0,-1,0,-1,1,0,-1,0,-1,0,1,0],
[1,0,1,0,-1,1,-1,0,-1,0,0,1,0,0,0,0,0,-1,0,0],
[1,0,2,-1,-1,0,-2,0,-2,2,0,2,-1,-1,1,1,1,-1,-1,0],
[0,-1,2,-1,-1,1,-1,-1,-1,1,0,1,1,-1,1,1,1,-1,-1,1],
[0,-1,3,-1,-1,2,-2,0,-2,1,0,1,1,-1,0,1,0,-2,0,1],
[1,0,1,0,-1,1,-1,0,-1,1,0,1,0,-1,0,0,0,-1,0,0]]]],
[ # Q-class [20][13]
[[2],
[1,2],
[1,1,2],
[1,1,1,2],
[0,0,0,0,2],
[0,0,0,0,1,2],
[0,0,0,0,1,1,2],
[0,0,0,0,1,1,1,2],
[0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,1,1,2],
[0,0,0,0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0]],
[[-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]]]],
[ # Q-class [20][14]
[[4],
[-1,4],
[1,1,4],
[-1,0,1,4],
[-1,2,1,2,4],
[1,0,-1,-2,0,4],
[0,1,-1,-2,-1,2,4],
[-2,1,1,1,0,-2,0,4],
[-2,2,1,1,2,0,1,2,4],
[-1,2,0,0,1,-1,0,0,0,4],
[1,1,0,0,0,-1,-1,-1,-1,2,4],
[-1,-1,-2,0,-1,1,0,-1,-1,-1,-1,4],
[-1,-1,1,1,1,-1,-2,1,1,0,0,-1,4],
[-2,-1,-1,1,-1,-2,0,2,1,0,0,0,1,4],
[-1,2,2,1,2,0,-1,1,2,1,0,-1,1,-1,4],
[-2,1,0,2,2,-2,-1,1,1,2,0,0,1,1,1,4],
[-1,2,2,0,1,0,0,2,2,1,0,-1,1,0,2,0,4],
[2,-2,1,0,-1,-1,-1,-1,-2,0,1,-1,1,0,-1,0,-1,4],
[1,1,2,-1,1,0,-1,-1,0,1,1,-1,1,-2,1,0,1,1,4],
[1,1,2,1,0,-2,0,1,0,0,1,-2,-1,0,0,0,0,1,0,4]],
[[[-2,-2,0,1,-1,1,1,0,-1,-2,2,-2,-1,-1,0,2,1,-1,1,0],
[1,1,-1,0,1,-1,1,-1,-1,0,-1,1,1,1,1,-1,1,0,0,1],
[1,0,-2,1,0,1,1,0,-2,0,-1,0,1,2,1,0,1,-1,2,2],
[1,1,0,0,-1,1,-1,0,1,2,-1,1,1,1,0,-1,-1,0,0,1],
[1,1,-1,0,0,0,0,0,0,1,-1,1,1,1,1,-1,0,0,0,1],
[-1,-1,0,0,0,-1,1,0,-1,-2,1,-1,-1,-1,1,1,1,0,0,-1],
[0,0,0,-1,0,-1,0,-1,0,-1,0,0,0,-1,0,1,1,0,-1,0],
[2,2,-1,0,0,0,-1,-1,0,1,-2,1,1,2,0,-1,0,0,0,1],
[2,1,-2,0,0,-1,0,-1,0,1,-2,1,1,1,1,-1,1,0,0,1],
[0,1,0,0,1,-1,1,0,-1,0,0,1,1,0,0,-1,0,0,0,0],
[-1,-1,0,0,1,-1,1,0,0,0,1,0,0,-1,0,-1,0,0,0,0],
[-1,1,2,0,-1,0,-1,0,1,0,0,-1,-1,-1,-1,0,-1,1,-1,-2],
[1,1,-2,1,0,-1,1,0,-1,0,-1,0,1,1,1,-1,0,0,1,0],
[1,1,0,-1,0,0,-2,0,2,2,-1,1,0,0,-1,-1,-1,1,-1,0],
[2,0,-2,1,1,-1,2,0,-2,0,-1,1,1,2,2,-1,1,-1,2,1],
[1,2,0,0,0,0,0,0,0,1,-1,1,1,1,0,-1,-1,0,0,0],
[1,2,-2,1,0,0,0,-1,-2,0,-2,0,1,2,1,-1,1,0,1,1],
[-1,-1,0,0,0,0,1,0,-1,-1,1,-1,0,0,0,1,0,-1,1,0],
[-1,0,-1,1,0,0,1,0,-1,-1,0,-1,0,0,0,0,1,0,1,0],
[1,-1,0,-1,1,1,0,0,0,1,0,1,1,1,0,0,0,-1,0,2]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,-1,1,-1,0,1,-1,-2,-2,0,-1,1,1,1,1,1,-1,1,0],
[0,0,-1,1,0,-1,2,0,-2,-2,1,-1,0,0,1,1,1,0,1,-1],
[-1,0,1,0,0,0,0,0,1,0,1,0,0,-1,-1,0,0,1,-1,-1],
[-1,2,0,1,-1,1,-1,0,0,-1,0,-1,0,0,-1,0,0,1,0,-1],
[1,1,-1,0,0,1,-1,0,0,0,-1,0,0,1,0,0,0,0,0,1],
[1,0,-2,1,0,-1,2,-1,-2,-1,-1,0,1,1,2,0,1,-1,1,1],
[-1,0,-1,1,-1,0,1,-1,-1,-1,0,-1,0,0,1,1,1,0,1,0],
[0,2,-2,2,-1,0,1,-1,-2,-1,-1,-1,1,1,1,0,1,0,1,0],
[0,0,0,0,-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0],
[0,0,2,-2,1,0,-1,0,1,1,0,1,0,0,-1,0,-1,0,-2,0],
[-1,1,0,1,-1,0,-1,0,1,0,0,-1,-1,-1,-1,0,0,1,0,-1],
[0,-1,0,0,1,-1,1,0,0,1,0,1,0,0,1,-1,0,0,0,0],
[0,1,-1,1,-1,1,0,0,-1,-1,0,-1,0,1,0,1,1,0,1,0],
[-1,1,1,0,-1,0,-1,0,1,0,0,0,0,-1,-1,0,0,1,-1,-1],
[0,1,-1,1,-1,1,0,0,-1,-1,0,-1,0,1,1,1,0,0,1,0],
[0,-2,1,0,1,-1,1,1,0,0,1,0,-1,-1,0,0,0,0,0,-1],
[0,1,0,0,0,-1,0,0,-1,-1,0,-1,0,0,0,0,0,0,0,-1],
[-1,-2,0,1,0,-1,3,0,-2,-2,2,-1,0,-1,1,1,1,-1,1,-1]]]],
[ # Q-class [20][15]
[[4],
[2,4],
[2,2,4],
[2,2,2,4],
[2,1,1,1,4],
[1,2,1,1,2,4],
[1,1,2,1,2,2,4],
[1,1,1,2,2,2,2,4],
[2,1,1,1,2,1,1,1,4],
[1,2,1,1,1,2,1,1,2,4],
[1,1,2,1,1,1,2,1,2,2,4],
[1,1,1,2,1,1,1,2,2,2,2,4],
[2,1,1,1,2,1,1,1,2,1,1,1,4],
[1,2,1,1,1,2,1,1,1,2,1,1,2,4],
[1,1,2,1,1,1,2,1,1,1,2,1,2,2,4],
[1,1,1,2,1,1,1,2,1,1,1,2,2,2,2,4],
[2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,4],
[1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,2,4],
[1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,2,2,4],
[1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,2,2,2,4]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,1,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,-1,0,0,-1,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,-1,0,-1,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,-1,-1,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,1,-1,0,0,0,0,0,0,-1,1,0,0,0,0],
[0,0,0,0,0,1,0,-1,0,0,0,0,0,-1,0,1,0,0,0,0],
[0,0,0,0,1,0,0,-1,0,0,0,0,-1,0,0,1,0,0,0,0],
[0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,1,-1,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0],
[0,1,0,-1,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0],
[1,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0]],
[[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1],
[-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0],
[-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,1,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,1,-1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,0,-1,0],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,1,0,0,-1],
[0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,1,-1,0,0],
[0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,1,0,-1,0],
[0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,-1],
[0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,1,-1,0,0],
[0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,1,0,-1,0]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0],
[1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1]]]],
[ # Q-class [20][16]
[[5],
[0,5],
[-1,0,5],
[0,1,1,5],
[0,1,1,1,5],
[0,1,-1,1,1,5],
[1,1,1,1,-1,-1,5],
[1,1,-1,-1,-1,1,1,5],
[1,1,0,-1,0,1,1,1,5],
[0,1,0,1,1,1,-1,1,1,5],
[1,-1,1,1,-1,1,1,1,1,1,5],
[0,1,1,1,1,1,0,-1,0,1,0,5],
[1,1,-1,1,-1,0,1,0,0,0,0,-1,5],
[-1,1,1,-1,-1,-1,1,1,1,0,0,1,-1,5],
[1,1,0,0,-1,1,0,1,1,1,0,-1,1,-1,5],
[0,1,-1,1,1,1,-1,0,-1,1,0,1,-1,1,-1,5],
[0,1,-1,1,1,1,1,1,1,1,-1,1,1,1,1,1,5],
[1,1,1,-1,1,0,1,-1,1,-1,1,0,1,1,-1,1,-1,5],
[1,1,1,1,0,-1,1,1,1,-1,1,-1,1,1,0,0,1,0,5],
[-1,1,1,0,1,-1,1,1,1,0,-1,-1,-1,1,-1,-1,1,0,1,5]],
[[[-1,-1,-1,0,1,0,1,0,0,0,0,1,0,0,1,0,-1,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[1,0,0,-2,2,1,1,-2,0,-1,2,0,3,2,1,2,-2,-4,-1,2],
[0,0,0,1,-1,0,-1,0,0,0,0,0,-1,0,0,-1,1,1,0,0],
[0,-1,0,-1,1,1,1,-1,0,0,0,0,1,1,1,1,-1,-1,0,1],
[0,0,0,0,-1,0,0,0,0,0,0,0,-1,-1,0,0,1,1,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,-1,0,0,1,-1,1,0,1,0,0,1,0,-1,-1,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,-2,2,0,1,-1,1,-2,2,1,3,1,1,3,-2,-4,-1,2],
[0,1,1,0,-1,0,-1,0,0,0,0,-1,-1,-1,-1,-1,2,1,0,-1],
[0,0,1,0,0,0,0,0,1,-1,0,0,1,0,0,1,0,-1,-1,0],
[0,0,0,-1,0,1,1,-1,-1,1,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,1,0,0,0,0,-1,1,0,1,1,0,0,0,-1,-1,0],
[0,0,0,1,-1,0,0,0,0,1,-1,-1,-1,0,-1,-1,1,1,0,-1]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,-1,0,1,1,-1,-1,1,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,0,1,1,0,0,1,-1,0,0,0,0,0,-1,0,1,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,1,0,2,-3,0,-1,1,-1,2,-2,-1,-4,-2,-2,-3,3,4,1,-2],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,2,-2,0,-1,1,0,1,-2,0,-2,-1,-1,-2,1,3,1,-1],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0]]]],
[ # Q-class [20][17]
[[8],
[4,8],
[-2,0,8],
[2,2,2,8],
[1,2,4,4,8],
[0,3,-2,2,-1,8],
[-4,-4,2,-4,-2,-4,8],
[4,4,0,2,2,0,-4,8],
[4,4,-2,4,2,2,-4,4,8],
[1,3,3,2,2,2,-3,3,-1,8],
[-4,-4,4,0,2,-4,4,-4,-4,-1,8],
[-4,-4,0,-4,-2,-2,4,-4,-4,-1,4,8],
[-4,-4,3,0,0,0,4,-4,-4,1,4,4,8],
[-4,-4,4,-1,0,-2,4,-4,-4,1,4,4,4,8],
[0,-1,0,-3,0,-3,2,2,-1,0,-1,1,0,2,8],
[-2,0,-1,-1,-4,4,0,-2,-2,2,-2,1,2,2,1,8],
[0,4,2,1,0,1,-1,2,0,3,0,-2,-2,0,-1,2,8],
[0,-4,-1,-4,-2,-4,2,-1,-4,-1,2,4,0,2,3,-1,-2,8],
[-4,-2,4,2,3,0,0,0,-1,2,2,0,2,4,0,0,0,-1,8],
[4,4,-2,0,-2,2,-4,4,0,3,-4,-4,-4,-4,0,2,4,0,-3,8]],
[[[-3,2,-1,-1,1,-2,-1,2,1,-1,0,-2,2,3,-2,1,-1,1,-2,1],
[-2,0,0,-1,1,-1,0,0,3,0,0,0,1,2,-1,0,-1,0,-1,3],
[0,0,1,1,0,1,1,0,0,0,0,1,-1,0,0,0,-1,0,0,1],
[-1,1,-1,0,1,0,1,1,1,0,1,-1,0,2,-1,1,-1,1,-1,1],
[-1,1,0,0,0,0,0,1,1,0,1,-1,0,1,-1,1,-1,1,-1,0],
[1,-1,0,0,0,0,1,-1,1,1,1,1,-1,-1,1,0,0,-1,1,1],
[2,-1,1,1,-1,1,0,-1,-2,0,-1,2,-1,-2,1,-1,1,-1,1,-1],
[-2,1,0,-1,1,-1,0,0,2,0,0,-1,1,1,-1,1,-1,1,-1,1],
[-1,0,0,-1,1,-1,0,0,2,0,0,-1,1,1,-1,1,0,1,-1,1],
[-1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,-1,0,0,1],
[1,0,0,1,-1,1,0,1,-2,0,0,0,-1,0,0,0,0,0,0,-2],
[2,-1,1,1,-2,1,-1,-1,-2,0,0,1,-1,-2,2,-1,1,-1,1,-2],
[2,0,0,1,-1,1,0,0,-2,0,1,1,-1,-1,1,0,0,-1,1,-1],
[1,0,1,1,-1,1,0,-1,-1,0,0,1,-1,-1,1,-1,0,0,1,0],
[-1,2,0,-1,0,-1,-1,0,1,-1,0,-1,2,1,-1,0,-1,1,0,1],
[1,0,0,0,0,0,0,-1,0,0,0,1,0,0,1,-1,0,-1,1,1],
[-1,0,0,-1,1,0,0,1,1,0,0,0,0,2,-1,0,-1,0,-1,1],
[0,1,0,0,-1,0,-1,1,-2,-1,0,-1,0,0,0,0,0,0,0,-2],
[1,-1,1,1,0,1,1,-2,0,1,0,1,-2,-2,1,0,0,0,1,0],
[-2,1,-1,-1,1,-1,0,1,1,0,0,-1,1,2,-1,0,-1,0,-1,1]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0],
[0,0,0,-1,0,0,-1,0,1,0,1,0,1,0,0,0,0,0,0,1],
[0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,-1],
[0,0,0,1,0,0,1,-1,0,0,-1,1,0,-1,1,-1,0,0,1,1],
[-1,0,0,0,0,0,0,-1,1,0,-1,0,1,0,0,-1,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,-1],
[-1,0,0,0,0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,-1,-1],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]]]],
[ # Q-class [20][18]
[[4],
[1,4],
[1,1,4],
[1,1,1,4],
[-1,1,0,0,4],
[-1,0,1,0,1,4],
[-1,0,0,1,1,1,4],
[0,-1,1,0,-1,1,0,4],
[0,-1,0,1,-1,0,1,1,4],
[0,0,-1,1,0,-1,1,-1,1,4],
[1,-1,0,0,1,0,0,0,0,0,4],
[1,0,-1,0,0,1,0,0,0,0,1,4],
[1,0,0,-1,0,0,1,0,0,0,1,1,4],
[0,1,-1,0,0,0,0,1,0,0,-1,1,0,4],
[0,1,0,-1,0,0,0,0,1,0,-1,0,1,1,4],
[0,0,1,-1,0,0,0,0,0,1,0,-1,1,-1,1,4],
[0,0,0,0,1,-1,0,1,0,0,1,-1,0,1,0,0,4],
[0,0,0,0,1,0,-1,0,1,0,1,0,-1,0,1,0,1,4],
[0,0,0,0,0,1,-1,0,0,1,0,1,-1,0,0,1,-1,1,4],
[0,0,0,0,0,0,0,1,-1,1,0,0,0,1,-1,1,1,-1,1,4]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,0,0,0,1],
[0,0,0,0,0,0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,-1,0,0,1,0],
[0,0,0,0,0,-1,1,0,0,-1,0,0,0,0,0,0,0,0,1,0],
[0,0,-1,1,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,-1,0,1,0,-1,0,0,1,0,0],
[0,0,0,0,-1,0,1,0,-1,0,0,0,0,0,0,0,0,1,0,0],
[0,-1,0,1,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0],
[-1,0,0,1,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0]],
[[-1,0,1,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,1,0,0,-1,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,-1,1,0,-1,0,0,1,0,0,0],
[0,0,0,0,0,1,-1,0,0,1,0,0,0,0,0,0,0,0,-1,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,-1,1,0,-1,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,1,-1,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,1,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,0,0,0,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,-1,1,0,0,0,0,0,0,0,0,0,-1],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[1,-1,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0],
[1,0,-1,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0],
[1,0,0,-1,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0],
[0,1,-1,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0],
[0,1,0,-1,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0],
[0,0,1,-1,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0],
[0,0,0,0,1,-1,0,1,0,0,0,0,0,0,0,0,-1,0,0,0],
[0,0,0,0,1,0,-1,0,1,0,0,0,0,0,0,0,0,-1,0,0],
[0,0,0,0,0,1,-1,0,0,1,0,0,0,0,0,0,0,0,-1,0],
[0,0,0,0,0,0,0,1,-1,1,0,0,0,0,0,0,0,0,0,-1]]]],
[ # Q-class [20][19]
[[2],
[1,2],
[1,1,2],
[1,1,1,2],
[1,1,1,1,2],
[1,1,1,1,1,2],
[1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]]]],
[ # Q-class [20][20]
[[4],
[0,4],
[-2,1,4],
[-1,-2,-1,4],
[-1,1,0,-1,4],
[-2,0,0,0,2,4],
[0,2,1,0,-1,0,4],
[-2,0,2,1,-1,1,1,4],
[2,1,-1,-2,0,-1,0,-1,4],
[1,1,0,-2,1,-1,0,-1,1,4],
[2,1,-1,0,0,-1,0,0,1,0,4],
[-2,-1,1,0,0,2,0,2,-1,-1,-1,4],
[-2,1,2,-1,0,0,1,1,0,0,-1,1,4],
[-1,-2,-1,1,0,2,-1,1,-1,0,-1,2,-1,4],
[2,2,-1,-2,1,-1,1,-2,2,2,1,-1,0,-1,4],
[-2,-2,0,1,1,2,-2,0,-2,-1,-2,1,0,2,-2,4],
[-2,1,1,-1,1,2,1,1,-1,1,-2,2,1,1,0,1,4],
[-2,1,0,1,2,2,1,1,0,-1,0,1,1,0,0,0,1,4],
[-2,-1,2,0,-1,0,0,2,0,0,-2,2,2,1,-1,1,1,0,4],
[1,1,0,-2,1,1,1,0,1,2,1,1,0,1,2,-1,1,0,0,4]],
[[[-5,-3,-2,-4,-1,-2,1,1,-1,-1,1,-2,-2,-1,1,0,0,1,0,1],
[0,1,0,0,0,-1,-1,1,0,-1,-1,0,0,0,0,0,0,0,-1,1],
[5,3,2,4,0,1,-2,-1,1,0,-1,1,2,1,-1,0,1,0,0,0],
[1,0,0,0,0,2,0,-1,-1,1,1,0,0,0,0,-1,0,0,2,-1],
[0,1,-1,-1,1,-2,1,1,0,0,-1,1,0,1,-1,1,-1,0,-1,0],
[0,0,-1,-1,1,-1,1,1,0,0,-1,1,0,0,0,1,-1,0,-1,0],
[0,0,0,0,0,0,-1,0,0,-1,0,-1,0,0,0,-1,1,0,0,1],
[4,2,2,3,-1,2,-2,-1,0,1,-1,1,1,0,0,0,0,1,0,0],
[-3,-2,0,-2,-2,-1,0,1,0,0,0,-1,-1,-1,1,1,0,1,-2,1],
[0,0,0,0,1,-1,0,0,0,-1,0,-1,0,1,-1,-1,1,0,0,0],
[-3,-1,-1,-3,-2,-1,0,1,-1,0,0,-1,-2,-1,1,1,-1,2,0,1],
[2,1,1,2,0,1,0,0,1,1,-1,1,1,0,0,1,-1,0,-1,0],
[3,3,2,4,0,1,-1,-1,2,1,-1,2,1,0,-1,1,0,-1,-1,0],
[0,-1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[-3,-1,-1,-2,0,-2,1,1,0,-1,0,-1,-1,0,0,0,0,0,-1,1],
[2,1,0,1,2,0,1,-1,0,0,0,1,1,1,-1,0,0,-1,1,-1],
[2,1,0,1,2,0,0,0,0,-1,-1,0,1,1,-1,-1,0,-1,0,0],
[1,1,0,0,0,0,0,1,0,1,-1,1,0,0,0,1,-1,0,-1,0],
[5,2,3,4,0,2,-1,-2,1,1,0,1,2,1,-1,0,1,0,0,-1],
[-2,-1,-1,-2,0,-2,1,1,0,-1,0,-1,-1,0,0,1,0,1,-1,1]],
[[-5,-3,-2,-4,-1,-1,1,1,-1,-1,1,-2,-2,-1,1,0,0,0,0,1],
[1,1,0,0,1,-2,0,0,0,-1,-1,0,0,1,-1,0,0,0,0,1],
[5,2,2,3,1,1,-1,-1,0,0,0,0,2,2,-1,-1,1,0,1,-1],
[-1,-1,-1,-1,0,0,1,1,0,1,0,1,0,-1,1,1,-1,0,-1,-1],
[1,1,0,1,1,-1,0,0,0,0,-1,1,0,0,-1,0,0,0,0,1],
[1,2,1,2,0,0,0,0,1,1,-1,2,0,0,0,1,-1,0,-1,0],
[1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,-1],
[2,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,-1],
[-2,-1,-1,-2,0,-1,0,0,-1,-2,0,-2,-1,0,0,-1,1,0,1,1],
[0,-1,1,0,0,0,-1,0,0,-1,0,-1,0,0,0,-1,1,0,0,1],
[-4,-2,-3,-4,1,-3,2,2,-1,-1,0,-1,-2,-1,0,1,-1,0,0,1],
[2,2,2,3,0,1,-1,-1,1,1,0,1,1,1,0,0,0,0,0,-1],
[4,2,1,2,1,1,-1,-1,0,0,0,0,1,1,-1,-1,1,0,2,-1],
[-1,0,1,1,-1,1,0,0,1,1,0,1,0,-1,1,1,-1,0,-1,0],
[-2,-1,-1,-2,0,-1,0,0,-1,-1,0,-1,-1,0,0,-1,0,0,1,1],
[2,2,1,3,-1,2,-1,0,1,2,-1,2,1,-1,0,1,-1,0,-1,0],
[3,2,3,3,-1,1,-2,-1,1,1,-1,1,1,1,0,0,0,1,-1,0],
[1,1,0,1,1,-1,0,0,0,0,-1,1,0,0,0,0,0,0,0,0],
[4,2,2,3,0,2,-2,-1,0,0,0,0,2,1,0,-1,1,0,1,-1],
[-2,-1,0,-1,0,-1,0,1,0,-1,0,-1,-1,0,1,0,0,0,0,1]],
[[-3,-1,-2,-2,1,-2,2,1,0,-1,0,0,-1,-1,0,1,-1,-1,0,1],
[1,0,1,1,-1,0,-1,0,0,0,-1,0,1,0,0,0,0,1,-1,1],
[4,2,3,4,0,2,-2,-2,1,1,0,1,2,1,-1,-1,1,0,0,-1],
[-1,-1,-1,-1,0,0,0,1,0,0,0,0,-1,-1,1,0,0,0,0,0],
[0,1,0,0,-1,0,0,0,0,1,-1,1,0,0,0,1,-1,1,-1,0],
[1,0,0,-1,0,0,0,0,-1,0,0,0,0,1,0,0,0,1,0,-1],
[1,-1,1,1,0,1,-1,0,0,-1,0,-1,1,0,1,-1,1,0,0,0],
[2,0,1,1,1,0,-1,0,0,0,0,0,1,1,0,-1,1,0,0,-1],
[-1,0,-1,-1,0,-1,1,1,0,0,0,0,0,0,0,1,-1,0,0,0],
[-1,-1,0,-1,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0],
[-3,-1,-2,-2,1,-3,1,2,0,-1,-1,0,-1,-1,0,1,-1,0,-1,2],
[2,1,1,2,1,1,-1,0,0,0,0,0,1,1,0,-1,1,-1,0,-1],
[2,1,2,2,-1,1,-2,-1,0,0,0,-1,1,1,0,-1,1,1,0,0],
[-2,-2,-1,-3,0,0,1,1,-1,0,1,-1,-1,0,1,0,0,0,0,-1],
[-1,0,0,0,-1,0,0,1,0,0,-1,0,0,-1,1,1,-1,0,-1,1],
[0,0,0,-1,-1,1,0,-1,-1,1,1,0,-1,0,0,0,0,1,1,-1],
[2,0,1,1,0,2,-1,-1,-1,0,0,-1,1,1,0,-2,1,0,1,-1],
[0,0,0,0,-1,0,-1,1,0,0,-1,0,0,0,1,0,0,1,-1,0],
[3,1,2,2,0,2,-1,-1,0,1,1,0,1,1,0,-1,1,0,1,-2],
[-1,-1,-1,-2,1,-1,1,1,-1,-1,0,-1,0,0,0,0,0,0,0,0]]]],
[ # Q-class [20][21]
[[4],
[-1,4],
[-2,2,4],
[-1,0,0,4],
[-1,-1,1,0,4],
[-2,0,0,1,0,4],
[-1,-1,1,-1,2,-1,4],
[-1,-1,1,0,2,0,2,4],
[-1,2,1,-1,-1,0,-1,-2,4],
[-1,0,0,2,-1,1,0,0,-1,4],
[-2,1,1,-1,0,1,0,0,1,0,4],
[-1,2,1,0,0,0,0,1,1,0,1,4],
[0,0,1,1,-1,0,0,0,-1,2,0,0,4],
[1,0,-1,1,-2,0,-1,-1,-1,2,0,0,2,4],
[2,0,0,-1,1,-2,0,0,0,-1,-1,0,0,0,4],
[1,0,0,-2,1,-1,0,0,0,-1,1,0,0,0,2,4],
[-2,-1,1,1,2,1,2,2,-1,1,0,0,0,-1,-1,-1,4],
[-1,1,0,2,0,1,0,0,-1,2,0,1,1,1,-1,-1,1,4],
[-1,-1,0,2,1,1,1,1,-2,2,0,0,1,1,-1,-1,2,2,4],
[-1,-1,-1,-1,0,1,0,0,0,0,2,0,0,0,-1,1,0,0,0,4]],
[[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0],
[0,1,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[-1,-1,0,0,0,0,0,-1,-1,0,0,1,0,0,0,0,0,0,-1,-1],
[0,0,0,1,-1,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0],
[-1,0,0,0,-1,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0],
[-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0],
[1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1],
[0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,-1,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0],
[0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0],
[-1,-1,0,0,-1,0,0,-1,-1,0,0,1,0,-1,0,1,0,0,0,-1]],
[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,-1,0,1],
[0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1],
[0,1,-1,0,0,0,0,1,1,0,0,-1,0,0,0,0,0,0,1,0],
[0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0],
[0,1,-1,0,1,0,0,0,0,0,0,0,1,0,-1,0,0,-1,0,0],
[-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,1,0,0,-1,0,0,0,0,0,0,0,0],
[0,1,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,-1,0,0],
[0,1,-1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0],
[1,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0],
[0,0,0,-1,1,-1,-1,0,0,1,0,0,0,0,0,-1,0,0,0,0],
[-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[-1,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,-1,0,0],
[-1,1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0],
[-1,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0]]]],
[ # Q-class [20][22]
[[2],
[1,2],
[1,1,2],
[1,1,1,2],
[1,1,1,1,2],
[1,1,1,1,1,2],
[1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,2],
[1,1,1,1,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,2],
[0,0,0,0,0,0,0,0,0,0,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2],
[0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2]],
[[[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]],
[[-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0],
--> --------------------
--> maximum size reached
--> --------------------
[ Dauer der Verarbeitung: 0.23 Sekunden
(vorverarbeitet)
]
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